Let a and b be real numbers, where Which of the following functions could represent the graph on the right?
2 answers:
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17)
18)
19)
20)
Step-by-step explanation:
17) The difference between a number and 8 is 11
Let number = x
then the equation will be:
Solving:
18) Nine less than a number is five.
Let number = x
then the equation will be:
Solving:
19) Seven is equal to a number plus 6
Let number = x
then the equation will be:
Solving:
20) The sum of a number and -4 is -18
Let number = x
then the equation will be:
solving:
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9514 1404 393
Answer:
13 in by 51 in
Step-by-step explanation:
The area is the product of the dimensions, so is ...
663 = x(4x -1)
4x^2 -x -663 = 0 . . . . . . subtract 663 to put in standard form
Using the quadratic formula, we can find the solutions.
x = (-(-1) ±√((-1)^2 -4(4)(-663)))/(2(4))
x = (1 ± √10609)/8 = (1 ±103)/8
Only the positive solution is of any use in this problem, so ...
x = 104/8 = 13
4x-1 = 4(13)-1 = 51
The dimensions of the rectangle are 13 inches by 51 inches.
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I find it easiest to solve these using a graphing calculator.
